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479536668 = 22321319199271
BaseRepresentation
bin11100100101010…
…010011000011100
31020102022222122100
4130211102120130
51440230133133
6115330045100
714611665042
oct3445223034
91212288570
10479536668
1122675aaa6
12114719790
137846bb10
144798a392
152c174e13
hex1c95261c

479536668 has 144 divisors (see below), whose sum is σ = 1386112000. Its totient is φ = 138568320.

The previous prime is 479536661. The next prime is 479536691. The reversal of 479536668 is 866635974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479536661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769373 + ... + 1769643.

Almost surely, 2479536668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479536668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693056000).

479536668 is an abundant number, since it is smaller than the sum of its proper divisors (906575332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

479536668 is a wasteful number, since it uses less digits than its factorization.

479536668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 479536668 is about 21898.3256894220. The cubic root of 479536668 is about 782.7215188728.

The spelling of 479536668 in words is "four hundred seventy-nine million, five hundred thirty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 199 228 234 247 271 342 398 468 494 542 597 684 741 796 813 988 1084 1194 1482 1626 1791 2223 2388 2439 2587 2964 3252 3523 3582 3781 4446 4878 5149 5174 7046 7164 7562 7761 8892 9756 10298 10348 10569 11343 14092 15124 15447 15522 20596 21138 22686 23283 30894 31044 31707 34029 42276 45372 46341 46566 49153 53929 61788 63414 66937 68058 92682 93132 98306 107858 126828 133874 136116 147459 161787 185364 196612 200811 215716 267748 294918 323574 401622 442377 485361 589836 602433 647148 701077 803244 884754 970722 1024651 1204866 1402154 1769508 1941444 2049302 2103231 2409732 2804308 3073953 4098604 4206462 6147906 6309693 8412924 9221859 12295812 12619386 13320463 18443718 25238772 26640926 36887436 39961389 53281852 79922778 119884167 159845556 239768334 479536668